Welcome!
I am a PhD student at the University of Pennsylvania. I obtained an S.B. at MIT in Mathematics (Course 18) and minor in Philosophy (Course 24). During my junior year, I participated in the Cambridge-MIT Exchange where I sat for the Part IB Tripos in Mathematics as a member of Churchill College.
My mathematical interests are fairly broad and include a large cross-section of applied and theoretical mathematics. As an undergrad I was originally interested in becoming a physicist who studied turbulence and other problems in fluid dynamics. Realizing that most of the interesting work on fluid mechanics was being done in the math department, I switched majors and took classes in continuum mechanics, nonlinear dynamics and chaos. After spending a year in Cambridge, I discovered that I really enjoyed "pure" mathematics as well as "applied" and began taking courses in smooth manifold theory and algebraic topology. My old interests in dynamics matured into interests in Symplectic Geometry and Integrable Systems.
Since coming to Penn, I've been focusing on course work and passing my orals, but have managed to start thinking about problems in Applied Topology which require quite sophisticated categorical methods.
